# Worksheet: Equation of a Straight Line: Vector Form

In this worksheet, we will practice finding the equation of a straight line in vector form.

**Q1: **

Which of the following can be the vector form of the equation of the straight line , where and ?

- A
- B
- C
- D
- E

**Q2: **

Which of the following can be the vector form of the equation of the straight line , where and ?

- A
- B
- C
- D
- E

**Q3: **

Find the vector equation of the straight line passing through the origin and the point .

- A
- B
- C
- D

**Q4: **

Find the vector equation of the straight line passing through the points and .

- A
- B
- C
- D

**Q6: **

Consider the line through the point and perpendicular to vector . Which of the following is a vector equation of this line?

- A
- B
- C
- D
- E

**Q7: **

Write the vector equation of the straight line that passes through the point with direction vector .

- A
- B
- C
- D

**Q8: **

Find the vector equation of the straight line that is parallel to the -axis and passing through the point .

- A
- B
- C
- D

**Q9: **

Consider the line through the point and perpendicular to vector . Which of the following is a vector equation of this line?

- A
- B
- C
- D
- E

**Q10: **

Given that and are the direction vectors of two perpendicular straight lines, determine the value of .

- A72
- B
- C
- D

**Q11: **

Suppose that a line has direction vector . What, to the nearest second, is the measure of the positive angle that this line makes with the positive -axis?

- A
- B
- C
- D

**Q12: **

If the straight line that passes through the two points and is perpendicular to the one that makes an angle of with the positive direction of the -axis, find the value of to the nearest integer.

- A
- B
- C3
- D

**Q13: **

Which of the following is a direction vector of the straight line ?

- A
- B
- C
- D
- E

**Q14: **

Which of the following is a directional vector for a line perpendicular to the -axis?

- A
- B